Angle Bisectors of Two Intersecting Lines

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This Demonstration plots the graphs of the equations of two lines in the form , , along with their two angle bisectors if the lines intersect.

Contributed by: Abraham Gadalla (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

If the lines intersect, the point of intersection is

The equations of the angle bisectors are obtained by solving

The slope of the angle bisector in terms of the slope of the two lines and is

The slope of the perpendicular to the angle bisector is

Note that .

The equation of the angle bisector in point-slope form is

and the equation of the perpendicular to the angle bisector at the point of intersection is


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